Green’s Dictionary of Slang

1. a talk, a conversation.

1941		G. Kersh They Die with Their Boots Clean 27: His phraseology is debased. He uses slang. To Barker [...] talk is Rabbit, or Rabbit-an’-Pork; beer is Pig’s Ear ... and so on, up and down the language.
1953		B. Behan Scarperer (1966) 13: Shut your mouth. You’ve a lot too much rabbit. Always had.
1962		F. Norman Guntz 28: I had a rabbit with a few civil servants who had also come along.
1970		G.F. Newman Sir, You Bastard 162: Let’s skip the silly rabbit.
1989		in G. Tremlett Little Legs 123: We’d just sit there talking, having a rabbit.
1999		J. Cameron Brown Bread in Wengen [ebook] Noreen never stopped the rabbit all the way.
2002		D. Shaw ‘Dead Beard’ at www.asstr.org 🌐 That’s all just rabbit and pork, Harry, you don’t want to take any notice of that. Lingers knows I didn’t have anything to do with grassing him up.
2010		K. Richards Life 228: I walked around [...] with so much rabbit going on it took me a while to get a touch on the back. ‘Keef, you got bail’.

2. audacity, cheek.

1979		F. Norman Too Many Crooks Spoil the Caper 216: Birds wiv too much rabbit need a gob full a knuckles from time to time.
1985		J. Sullivan ‘Watching the Girls Go By’ Only Fools and Horses [TV script] He’s got far too much rabbit. It’s about time he was put in his place once and for all that boy.